Question

in how many ways can 5 boys and 3 girls be arranged in a row such that all the boy​

Answer 1

Answer:

let us understand what is given: 3 boys and 5 girls and we have to arrange them in such a way that, all 3 boys are sitting together.

To start with, consider all 3 boys as one unit, and now remaining 5 girls total we have 6 object (5 girls+ one unit of 3 boys). Arranging 6 object in 6! ways, and now 3 boys can be arranged among themselves in 3! ways.

Hence total number of ways= 6!*3! = 720*6 = 4320.